Performance Appraisal

Performance appraisal evaluates whether investment results stem from skill or luck. It uses risk-adjusted performance measures to assess if a portfolio manager consistently adds value beyond their benchmark.


Key Performance Appraisal Metrics

  1. Sharpe Ratio
  1. Treynor Ratio
  1. Focuses on systematic risk by using beta as the denominator.
  2. Useful only for well-diversified portfolios without significant unsystematic risk.
  3. Information Ratio (IR)
  1. Measures portfolio performance relative to its benchmark, adjusted for tracking error.
  2. Higher IR indicates better risk-adjusted excess returns.
  3. Appraisal Ratio (AR)
  1. Alpha (excess return) divided by residual risk (standard deviation of unsystematic returns).
  2. Evaluates the effectiveness of active management.
  3. Sortino Ratio
  1. Similar to the Sharpe ratio but considers only downside risk (semi-standard deviation).
  2. Better suited for portfolios with non-normal return distributions or skewed risks.
  3. Example:
  1. Capture Ratios
    • Upside Capture Ratio: Measures performance during positive benchmark returns:
  1. Downside Capture Ratio: Measures performance during negative benchmark returns:
  1. Capture Ratio:
  1. Example:
    • Portfolio Upside Return: 5%, Benchmark Upside Return: 4% → Upside Capture: 125%125\%125%
    • Portfolio Downside Return: −6%-6\%−6%, Benchmark Downside Return: −10%-10\%−10% → Downside Capture: 60%60\%60%
    • Capture Ratio: 125%/60%=2.08125\% / 60\% = 2.08125%/60%=2.08 (positively convex return profile).
  2. Drawdown
    • Measures the maximum decline from a portfolio’s peak to its trough before a new peak is achieved.
    • Maximum Drawdown:
      • Largest cumulative loss during a drawdown phase.
    • Drawdown Duration:
      • Time from the start of the drawdown to full recovery.
    • Example:

Limitations of Appraisal Metrics

  1. Sharpe and Treynor Ratios:
    • Penalize upside volatility equally with downside volatility.
    • Treynor assumes well-diversified portfolios, making it unsuitable for concentrated strategies.
  2. Sortino Ratio:
    • Requires a subjective choice of the Minimum Acceptable Return (MAR).
    • Comparability may be limited between portfolios with different MARs.
  3. Information and Appraisal Ratios:
    • Depend on the choice of benchmark; misspecified benchmarks can distort results.
  4. Capture Ratios:
    • Do not account for absolute risk levels or portfolio volatility.
  5. Drawdown:
    • Focuses only on past performance and ignores forward-looking risk measures.
    • May overemphasize rare but extreme market events.

Key Takeaways

  • Performance appraisal metrics help identify whether investment results stem from manager skill or market conditions.
  • Each metric has specific strengths and limitations, making it essential to select the appropriate one based on the portfolio’s characteristics and investor objectives.
  • Proper benchmark selection is critical to ensuring valid appraisals and meaningful insights.
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